2003
DOI: 10.1017/s0022112003005068
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A model for deformable roll coating with negative gaps and incompressible compliant layers

Abstract: A soft elastohydrodynamic lubrication model is formulated for deformable roll coating involving two contra-rotating rolls, one rigid and the other covered with a compliant layer. Included is a finite-strip model (FSM) for the deformation of the layer and a lubrication model with suitable boundary conditions for the motion of the fluid. The scope of the analysis is restricted to Newtonian fluids, linear elasticity/viscoelasticity and equal roll speeds, with application to the industrially relevant highly loaded… Show more

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Cited by 14 publications
(6 citation statements)
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“…It is interesting to note also the variation in pressure and web shape near the downstream meniscus is similar to that found in the nip-region of a deformable twin roll coater, in which either or both is covered with a thin elastomer layer [23]. The order of the minimum web-to-roll gap is around one tenth of the cell opening length, K, corresponding to gaps of around 20µm for cell sizes typical of those used industrially.…”
Section: Resultssupporting
confidence: 65%
“…It is interesting to note also the variation in pressure and web shape near the downstream meniscus is similar to that found in the nip-region of a deformable twin roll coater, in which either or both is covered with a thin elastomer layer [23]. The order of the minimum web-to-roll gap is around one tenth of the cell opening length, K, corresponding to gaps of around 20µm for cell sizes typical of those used industrially.…”
Section: Resultssupporting
confidence: 65%
“…Rolls with thicker coverings are effectively less 'stiff' and thus are susceptible to larger deformation, which helps delay ribbing to a higher roll speed. This deduction fits with theoretical observation, where the downstream meniscus locates further away from the roll nip for a thicker compliant layer (Gostling et al, 2003). Fig.…”
Section: Positive Gapssupporting
confidence: 90%
“…For large deflections and incompressible compliant layers such as mucosa, Carvalho and Scriven (1995) and Gostling et al (2003) have proposed:…”
Section: Elastic Model Of the Mucosamentioning
confidence: 99%